书目名称 | Submanifold Theory |
副标题 | Beyond an Introducti |
编辑 | Marcos Dajczer,Ruy Tojeiro |
视频video | |
概述 | Provides a comprehensive introduction to submanifold theory.Engages the reader throughout with many examples and exercises.Reaches the frontier of knowledge in the subject? |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field.. |
出版日期 | Textbook 2019 |
关键词 | conformal immersion; isometric immersion; rigidity and deformation; submanifold; Submanifold theory; conf |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4939-9644-5 |
isbn_ebook | 978-1-4939-9644-5Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer Science+Business Media, LLC, part of Springer Nature 2019 |